Search a number
-
+
21231220202313 = 31119531018277649
BaseRepresentation
bin1001101001111010001110…
…10101101001101101001001
32210011200111020111012220120
410310331013111221231021
510240323014332433223
6113053253220013453
74320622300042632
oct464750725515511
983150436435816
1021231220202313
116846123342220
12246a904831289
13bb01319ac524
1453584cc9c889
1526c415876be3
hex134f47569b49

21231220202313 has 128 divisors (see below), whose sum is σ = 33493222656000. Its totient is φ = 11825888256000.

The previous prime is 21231220202303. The next prime is 21231220202347. The reversal of 21231220202313 is 31320202213212.

It is not a de Polignac number, because 21231220202313 - 25 = 21231220202281 is a prime.

It is a super-2 number, since 2×212312202023132 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21231220202303) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2775681913 + ... + 2775689561.

It is an arithmetic number, because the mean of its divisors is an integer number (261665802000).

Almost surely, 221231220202313 is an apocalyptic number.

It is an amenable number.

21231220202313 is a deficient number, since it is larger than the sum of its proper divisors (12262002453687).

21231220202313 is a wasteful number, since it uses less digits than its factorization.

21231220202313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8663.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 21231220202313 its reverse (31320202213212), we get a palindrome (52551422415525).

The spelling of 21231220202313 in words is "twenty-one trillion, two hundred thirty-one billion, two hundred twenty million, two hundred two thousand, three hundred thirteen".

Divisors: 1 3 11 19 33 53 57 101 159 209 303 583 627 827 1007 1111 1749 1919 2481 3021 3333 5353 5757 7649 9097 11077 15713 16059 21109 22947 27291 33231 43831 47139 58883 63327 83527 84139 101707 131493 145331 172843 176649 250581 252417 305121 405397 435993 482141 518529 772549 832789 918797 1118777 1216191 1446423 1587013 1598641 2317647 2498367 2756391 3356331 4426931 4459367 4761039 4795923 6325723 7702543 8498039 9160679 13280793 13378101 14678431 17457143 18977169 23107629 25494117 27482037 40945097 44035293 48696241 52371429 69582953 84111689 84727973 120188737 122835291 146088723 161462741 208748859 252335067 254183919 335263319 360566211 450396067 484388223 638898023 777956843 925228579 1005789957 1322076107 1351188201 1916694069 2333870529 2775685737 3687896509 3966228321 6370003061 7027878253 8557525273 11063689527 12139062437 19110009183 21083634759 25672575819 33861595219 36417187311 70070033671 101584785657 133529686807 210210101013 372477547409 400589060421 643370309161 1117432642227 1930110927483 7077073400771 21231220202313